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基于波前重建和李代数积分的地震波走时计算

Jilin Daxue Xuebao (Diqiu Kexue Ban)/Journal of Jilin University (Earth Science Edition)(2010)

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Abstract
地震波走时计算在数值模拟、层析反演和偏移成像中均有重要意义.将波前重建与李代数积分相结合,提出了一种新的适应横向变速介质的非对称走时算法,称之为wave-front construction-Lie algebra integral(WFC-LAI)算法.本算法利用一次波前重建计算成像射线走时进行坐标变换,将深度域单平方根算子透镜项转化为常数,在射线坐标系下计算李代数积分和指数映射,得到地震波走时的解析表达式.数值试验表明,该方法计算结果与线性横向变速介质中走时的理论值吻合.通过与波前重建结果对比,WFC-LAI算法对于求取横向变速介质中地震波走时是可行的,节省了存储空间,易于并行,有利于提高Kirchhoff积分叠前深度偏移的精度和效率.
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Key words
Exponent mapping,Lateral velocity variation,Lie algebra integral,Seismic,Unsymmetrical travel-time,Wave-front construction
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